Sound velocity dispersion and second viscosity in media with nonequilibrium chemical reactions

Molevich, N. E.

doi:10.1134/1.1560381

Cited by 20 publications

(21 citation statements)

References 5 publications

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“…It may be concluded that results are applicable to some classes of relaxation processes; although conceptually different, these processes are described by similar equations. The analogy with gases where a chemical reaction occurs, reversible or not, may be noted readily [15][16][17].…”

Section: Discussionmentioning

confidence: 99%

Generation of the vorticity mode by sound in a vibrationally relaxing gas

Perelomova

Wojda

2012

Open Physics

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Abstract:The procedure of derivation of a new dynamical equation governing the vorticity mode that is generated by sound, is discussed in detail. It includes instantaneous quantities and does not require averaging over sound period. The resulting equation applies to both periodic and aperiodic sound as the origin of the vorticity mode. Under certain conditions, the direction of streamlines of the vorticity mode may be inverted as compared with that in a fluid with standard attenuation. This reflects an anomalous absorption of sound, when transfer of momentum of the vorticity mode into momentum of sound occurs. The theory is illustrated by a representative example of the generation of vorticity in a vibrationally relaxing gas in the field of periodic weakly diffracting acoustic beam. PACS

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Section: Discussionmentioning

confidence: 99%

Generation of the vorticity mode by sound in a vibrationally relaxing gas

Perelomova

Wojda

2012

Open Physics

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“…The last term in both dispersion relations manifests amplification of the sound in the non-equilibrium regime (if Φ 1 < 0) which does not depend on the wave number k. The approximate roots of dispersion equation for both acoustic branches, progressive in the positive or negative directions of axis Ox in the lowfrequency domain ωτ ≪ 1, are as follows (see also (Molevich, 2003;2004)):…”

Section: Fundamentals Of Modes' Designation and Derivation Of Dynamicmentioning

confidence: 99%

“…The flow is supposed to be one-dimensional along axis Ox. Following Molevich and Makaryan (Molevich, 2003;2004;Makaryan, Molevich, 2007), we consider weak transversal pumping which may alter the background quantities in the transversal direction of axis Ox. It is assumed that the background stationary quantities are constant along axis Ox.…”

Section: Fundamentals Of Modes' Designation and Derivation Of Dynamicmentioning

confidence: 99%

Features of Nonlinear Sound Propagation in Vibrationally Excited Gases

Perelomova¹,

Kusmirek²

2013

Archives of Acoustics

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Weakly nonlinear sound propagation in a gas where molecular vibrational relaxation takes place is studied. New equations which govern the sound in media where the irreversible relaxation may take place are derived and discussed. Their form depends on the regime of excitation of oscillatory degrees of freedom, equilibrium (reversible) or non-equilibrium (irreversible), and on the comparative frequency of the sound in relation to the inverse time of relaxation. Additional nonlinear terms increase standard nonlinearity of the high-frequency sound in the equilibrium regime of vibrational excitation and decrease otherwise. As for the nonlinearity of the low-frequency sound, the conclusions are opposite. Appearance of a non-oscillating additional part which is a linear function of the distance from the transducer is an unusual property of nonlinear distortions of harmonic at the transducer high-frequency sound.

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“…(1) represents sum of unperturbed value and its variation, for example: T = T 0 + T (where in a weakly nonlinear flow |T | T 0 , and so on). Following [6,7], we assume that the stationary quantities Y 0 , T 0 , P 0 , ρ 0 , v 0 = 0 are maintained by a transverse pumping, so that in the longitudinal direction pointed by axis OX, the stationary medium is homogeneous. Equations (1), with account for Eq.…”

Section: Dispersion Relations In One-dimensional Flowmentioning

confidence: 99%

“…The approximate roots of dispersion relations for both acoustic branches, were firstly derived in [7]. It is reasonable to evaluate first three roots of dispersion equation in two opposite cases: when acoustic frequency is large compared with the characteristic duration of chemical reaction τ c : ωτ c ≈ |k|u ∞ τ c 1 and when acoustic frequency is small compared with τ c : ωτ c ≈ |k|u 0 τ c 1 (u ∞ , u 0 are sound velocity of infinitely large and small frequency, respectively).…”

Section: Dispersion Relations In One-dimensional Flowmentioning

confidence: 99%

Non-Wave Variations in Temperature Caused by Sound in a Chemically Reacting Gas

Perelomova

Pelc-Garska

2011

Acta Phys. Pol. A

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A weakly nonlinear generation of non-acoustic modes in the field of sound in a gas is considered. An exoteric chemical reaction of A → B type, which takes place in a gas, may be reversible or not. Two types of sound are considered, low-frequency and high-frequency as compared with the characteristic time of a chemical reaction. For both these cases, the governing equations of non-acoustic modes are derived and conclusions of the efficiency of their nonlinear generation by sound are made. The character of nonlinear generation of non-acoustic modes by sound depends essentially on reversibility of a chemical reaction.

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Sound velocity dispersion and second viscosity in media with nonequilibrium chemical reactions

Cited by 20 publications

References 5 publications

Generation of the vorticity mode by sound in a vibrationally relaxing gas

Generation of the vorticity mode by sound in a vibrationally relaxing gas

Features of Nonlinear Sound Propagation in Vibrationally Excited Gases

Non-Wave Variations in Temperature Caused by Sound in a Chemically Reacting Gas

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